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4. Analog Circuits and Systems 
 The transport mechanism, heads, and tape should combine to determine the
   basic performance limitations of a tape recorder. The analog electronic circuits
   of the recorder, on the other hand, should exceed the capabilities of the
   heads and tape in all respects so that only the heads and tape limit the quality
   of the final signal. In practical terms, this means that the SNR, frequency
   response, distortion, and head room of the electronics are comfortably better
   than the heads and any tape, including future improved tapes.  
 The block diagram of the signal electronics of a typical professional audio
   recorder is shown in Fig. 36. In terms of actual hardware, approximately 75%
   of the audio circuits of a modern professional audio recorder are devoted
   to operator interfacing and controls; the remaining 25% implement the basic
   functions of erasing, recording, and playback. Since the variation of features
   and technology used to implement the interfacing and control functions is
   too broad to be summarized herein, the following description covers only the
   latter basic functions. 
 4.1 Playback Amplifiers 
 The amount of electrical power that can be generated by a magnetic tape passing
   over the face of a reproduce head is exceedingly small. The output voltage
   from the head for loud recorded passages will reach no more than a few millivolts,
   with quiet passages dropping into the microvolt region. This weak signal must
   be carefully boosted without the introduction of additional noise to a higher,
   more usable level by the first stage of the play back amplifier. Special low-noise
   amplifier circuits developed for this purpose provide at least 20 dB of gain
   so that subsequent amplifier stages will not be required to operate near their
   noise limits.  
 Since the reproduce head produces an output voltage that is related to the
   rate of change of the flux on the tape, dI/dt, the output voltage will rise
   at a rate of 6 dB/octave. A compensating circuit with a falling 6 dB/octave
   response, known as an integrator, is used in the playback amplifier to correct
   for this rise and give a voltage that is proportional to the value of flux
   sensed by the head.  
 When the effects of playback head resonance peaking and gap length, spacing,
   eddy current, and thickness losses are included, the output from the low-noise
   amplifier and integrator would follow the falling curve in FIG. 37 for 15
   in/s (38 cm/s) operation, see FIG. 12 for details. This curve must be reshaped
   by the combined effect of the record and play back equalizers to yield a flat
   response. The method of partitioning this correction between the record and
   play back circuits is dictated by the equalization standard chosen by the
   operator. Since all users of a given equalization standard will be using the
   same partitioning, the recorded tapes will all be interchangeable.  
  FIG. 38 shows a simplified schematic of a typical operational amplifier
   type of a playback amplifier capable of the necessary playback corrections.
   The low-frequency-cut circuit is utilized in some NAB and cassette standards
   to achieve a decrease in low-frequency playback noise below 100 Hz at the
   expense of low-frequency headroom. A typical design would include additional
   ancillary components for amplifier biasing and stabilization.  
 With one common exception, the same type of circuitry is utilized in the
   sync/overdub mode to condition and amplify the playback signal from the record
   head. The exception is in the form of an added voltage-boosting transformer
   that is commonly necessary to get the signal above the noise floor of the
   low-noise input section. This problem arises from the low inductance and few
   turns of wire that are typically found in a record head. The record head must
   pass the audio plus the high-frequency bias signal; therefore, the inductance
   must be kept low enough to avoid self-resonance with the head cables at the
   bias frequency. When fewer turns are used to reduce the inductance, the output
   voltage goes down proportionately. In essence, these turns are restored in
   the transformer by a step-up turns ratio ranging from 3:1 to as high as 10:1. 
    FIG. 36. Tape recorder signal block diagram. 
    FIG. 37. Unequalized reproduce head output. 
    FIG. 38. Simplified playback amplifier. 
    FIG. 39. Constant-current record head drivers. 
    FIG. 40. Audio and bias coupling to record head. 
 4.2 Record Circuits 
 The primary task of the amplifier that drives the record head is to convert
   the input audio signal voltage into a proportional amount of current flowing
   in the windings of the record head. To accomplish this task, the head driver
   must overcome the rise in head impedance with frequency that is due to the
   inductance of the head. A common technique to achieve flat current response,
   as shown in FIG. 39A, is to insert a resistor in series with the head so that
   the combined series impedance of the resistor and the head remain relatively
   constant throughout the audio band. If the resistance is chosen to be two
   to three times the reactance of the head at the upper limit of the desired
   audio band, the desired constant current characteristics can be closely approximated.  
 The primary disadvantage of the series resistor is the loss of head room
   due to the extra signal drop across the resistor. This problem can be overcome
   with an active current feedback circuit that senses the current in the head
   through a small sampling resistor. FIG. 39B shows a sampling resistor Rs in
   series with the return leg of the head. The voltage generated across Rs by
   the current flowing in the head is fed back to the inverting input for comparison
   with the incoming audio signal.  
 The high gain of the driver amplifier necessitates only a very small feedback
   signal, creating a negligible loss in head room at high frequencies.  
 The circuits of FIG. 39 oversimplify the task of driving the record head
   since no provisions are included for adding the high-frequency bias signal
   to the current in the head. A common method of adding the bias and audio signals
   is shown in FIG. 40. The audio driver is isolated from the bias source by
   a parallel trap tuned to the bias frequency so that the bias signal does not
   create nonlinearities within the audio driver. The high impedance of the trap
   at the bias frequency also reduces the loading effect of the audio source
   on the bias source. 
 A similar isolation of the bias source is accomplished by the capacitor in
   series with the bias supply.  
 Since the capacitor looks like a high impedance at audio frequencies, the
   loading effect of the bias supply on the audio source is minimized. At the
   higher frequencies of the bias signal, the reactance of the capacitor has
   dropped to a relatively low value that provides adequate coupling of the bias
   signal into the record head.  
 An alternate approach that eliminates some of the previously mentioned isolation
   requirements is shown in FIG. 41. In this case, the bias and the audio are
   added together at the input to a combination bias/audio head driver amplifier.
   If the amplifier has sufficient head room and very low distortion, the two
   signals can be amplified simultaneously by the same amplifier without any
   interference. The problem of coupling the output to the head for constant
   current drive must still be overcome, however, by including either a complex
   coupling network or an active feedback network. 
     FIG. 41. Active summer for bias and audio. 
 In addition to the head driver circuits, which correct for any response droop
   due to head inductance, the record amplifier must provide deliberate frequency
   response tailoring to match the desired equalization standards. The standards
   usually require an adjustable boost at 6 dB/octave beginning in the middle
   of the audio band, with lower tape speeds generally requiring greater boosts
   to overcome the increased tape thickness and self-erasure losses.  
 The needed boost is easily implemented by the resistance-capacitance circuit
   shown in FIG. 42A, but the use of a variable capacitor is inconvenient due
   to the limited range of capacitor adjustment and the awkward size and mounting
   of the capacitor. Newer designs, therefore, favor operational amplifier configurations
   that control the amount of boost with a potentiometer.  
 One such circuit, shown in FIG. 42B, selectively adds the output of a differentiator
   circuit, which rises at 6 dB/octave, to the main signal path. 
     FIG. 42. High-frequency record boost circuits. A. With variable capacitor.
   B. With operational amplifier configuration. 
 A secondary benefit of the differentiator circuit is the phase change introduced
   by the inverting characteristics of the differentiator amplifier. Unlike most
   of the loss-correction circuits of the signal path, which intro duce signal
   delay at high frequencies, the inverted differentiator advances the high frequencies.
   The proper combination of advance and delay can provide less phase distortion
   in the signal, yielding improved transient response with less overshoot. A
   similar phase-correcting effect has been implemented in other designs by providing
   an all-pass, phase-shifting network in the reproduce amplifier.  
 The NAB and compact cassette equalization standards provide an additional
   record signal boost at low frequencies to overcome the hum and noise limitations
   of the reproduce heads and amplifiers. Typical circuits for this purpose are
   shown in FIG. 43. Both cases achieve a 6 dB/octave rise with decreasing frequency
   from 50 Hz or 100 Hz to below 20 Hz. 
     FIG. 43. Low-frequency record boost circuits. 
 Abrupt changes in the bias and audio signals on the record head must be avoided
   whenever the record mode is entered or exited. Ramping circuits are employed
   for this purpose to control the buildup and decay of these signals. Typical
   methods include the use of analog switching elements such as bipolar-junction
   or field-effect transistors. The rate of switching of these elements is limited
   to a value that does not create abrupt transients but, at the same time, is
   quick enough to avoid annoying delays, over-recordings, or program holes. 
 4.3 Bias and Erase Circuits 
 The high-frequency signals required for biasing and erasing all tracks of
   the tape are derived from a single master oscillator so that no interference
   or beating of multiple oscillators will occur. Older designs generally employ
   a tuned push-pull multivibrator oscillator;  newer designs favor crystal-stabilized oscillators utilizing digital circuitry.
   Several designs have used separate bias and erase frequencies, with the erase
   circuit running at one-third the bias frequency to minimize the power dissipation
   on the erase head.  
 In all cases, the primary consideration is purity of the bias and erase current
   waveforms. Any even-order harmonics, including dc, second harmonics, fourth
   harmonics, and so on, will create a detrimental rise in the background tape
   noise, reducing the available SNR for the recorder. Older designs, such as
   FIG. 44A, relied heavily on push-pull circuits with balancing transformers
   to minimize these even-order components.  
 Newer designs, such as FIG. 44B, favor filtering and feedback control to
   reduce unwanted components. The divide-by-two flip-flop eliminates any even-order
   distortion in the oscillator waveform. 
     FIG. 44. Typical bias and erase sources. B. Filtering and feedback control.
   A. Push-pull circuit with balancing transformers. 
 The erase head is typically coupled to the erase source with an adjustable
   series resonating capacitor to minimize the voltage required from the driver
   and to filter out even-order components. A current sampling resistor is frequently
   provided in the ground leg of the erase head circuit so that the amplitude
   of the erase current can be conveniently monitored. 
 4.4 Noise Reduction Systems 
 The SNR of an analog audio recorder is usually taken as the difference between
   the residual biased tape noise level and the level which produces 3% third
   harmonic distortion at 1 kHz. In the ideal case this ratio is limited by the
   tape speed, track width, and tape type. Once these parameters are set, the
   maximum SNR is determined.  
 Direct analog noise reduction systems rely on the masking effect of human
   hearing. If both a background noise and a louder desired signal exist within
   the same frequency band, the noise will be masked by the desired signal. If,
   on the other hand, the noise and signals are in different parts of the audio
   spectrum, such as a bass guitar and high-frequency tape hiss, the noise will
   not be masked. The perceived noise can be reduced if the SNR is compromised
   during masking situations so that unmasked noise can be reduced. This requires
   dynamic change of the gain or transfer function of the system depending on
   the program content.  
 Dolby and dbx noise reduction systems are examples of amplitude-only encode/decode
   systems.  
 Both systems modify the amplitude of the signal to squeeze the dynamic range
   of the input signal into a smaller dynamic range that will avoid the noise
   and distortion limitations of the recording tape. The fidelity of these compander
   (compression/expander) systems is limited not only by the tracking of the
   encode and decode circuits, but also by the nature of the errors that are
   generated by noise, nonlinearities, and frequency response anomalies introduced
   by the record/playback cycle of the tape recorder. These parasitic errors
   can cause dynamic mistracking that will create distortions of dynamic signals
   that may not be evident during sine-wave testing.  
 The Dolby systems process the low-level signals by boosting them during recording
   and then attenuating them on playback. The original professional Dolby system
   (Dolby A) subdivides the audio spectrum into bands that are processed individually
   to optimize the masking effect.  
 A later development, the Dolby SR system also adds adaptive filters that
   change their cutoff frequencies as the signal content varies. When the program
   material includes information at high frequencies, the filter opens up to
   full bandwidth. If no high-frequency content is present, the cutoff frequency
   of the filter slides down to match the program material. The filter must be "intelligent" enough
   to distinguish between desired audio signals and unwanted noise.  
 The Dolby SR system was quickly embraced by the music and film markets as
   a method of raising analog recorder performance to a level that rivals digital
   recorders.  
 DBX is also a "compander" system, but instead of dividing the spectrum
   into bands and acting on each band differently, DBX acted on the true RMS
   value of the signal. This resulted in SNR improvements that were significantly
   better than Dolby A, but many users felt that the DBX system was more prone
   to audible artifacts of the process. 
 4.5 Sync Operation 
 Multitrack recording requires that artists be able to listen to the previously
   recorded tracks while simultaneously adding their new performance in synchronism
   with the prior tracks. Analog recorders accomplish this by using some tracks
   of the record head as playback sources while simultaneously recording on other
   tracks of the same head. 
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