A deterministic study of delta modulation.
Delta modulation as a pulse duration-amplitude modulation system, using transform methods and digital computation
DELTA MODULATION↗
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A delta modulation threshold extension technique for frequency modulation systems
Delta modulation threshold extension technique for phase lock loop FM demodulator
Arndt, G. D.↗
Delta Modulation
An optimum adaptive delta modulator-demodulator configuration is derived. This device utilizes two past samples to obtain a step size which minimizes the mean square error for a Markov Gaussian source. The optimum system is compared using computer simulations with the linear delta modulator and an enhanced Abate delta modulator. In addition the performance is compared to the rate distortion bound for a Markov source. It is shown that the optimum delta modulator is neither quantization nor slope-overload limited. The results show that the output signal-to-noise ratio is independent of the input signal power and is subject only to the limitations of the hardware employed. In addition, voice was recorded using these systems. The demodulated voice indicates negligible degradation is caused by the optimum system and by the enhanced Abate system while the linear delta modulator suffers significant degradation at a sampling frequency of 56 kilobits/sec.
Schilling, D. L.↗
A technique for correcting transmission errors in delta modulation channels
The delta modulator is a relatively new device which has found wide application in voice encoding. Two main difficulties in using this device for video encoding and processing is that it slope overloads and 'rings' and that channel errors produce a DC level shift. An algorithm is developed which is easily implemented and which significantly reduces 'picture streaks' due to the production of DC level shifts by channel errors. The algorithm can be made adaptive whereby the insertion rate of the pulse code modulation (PCM) codeword needed for correction can be adjusted depending on the strength of the channel noise. This yields a more efficient use of bandwidth. Further, the resulting signal can still be processed further using line-to-line correlation to remove the remaining 'streaks'.
Ali, M. Z.↗
Investigation of television transmission using adaptive delta modulation principles
The results are presented of a study on the use of the delta modulator as a digital encoder of television signals. The computer simulation of different delta modulators was studied in order to find a satisfactory delta modulator. After finding a suitable delta modulator algorithm via computer simulation, the results were analyzed and then implemented in hardware to study its ability to encode real time motion pictures from an NTSC format television camera. The effects of channel errors on the delta modulated video signal were tested along with several error correction algorithms via computer simulation. A very high speed delta modulator was built (out of ECL logic), incorporating the most promising of the correction schemes, so that it could be tested on real time motion pictures. Delta modulators were investigated which could achieve significant bandwidth reduction without regard to complexity or speed. The first scheme investigated was a real time frame to frame encoding scheme which required the assembly of fourteen, 131,000 bit long shift registers as well as a high speed delta modulator. The other schemes involved the computer simulation of two dimensional delta modulator algorithms.
Schilling, D. L.↗
The effect of interference on delta modulation encoded video signals
The results of a study on the use of the delta modulator as a digital encoder of television signals are presented. The computer simulation was studied of different delta modulators in order to find a satisfactory delta modulator. After finding a suitable delta modulator algorithm via computer simulation, the results are analyzed and then implemented in hardware to study the ability to encode real time motion pictures from an NTSC format television camera. The effects were investigated of channel errors on the delta modulated video signal and several error correction algorithms were tested via computer simulation. A very high speed delta modulator was built (out of ECL logic), incorporating the most promising of the correction schemes, so that it could be tested on real time motion pictures. The final area of investigation concerned itself with finding delta modulators which could achieve significant bandwidth reduction without regard to complexity or speed. The first such scheme to be investigated was a real time frame to frame encoding scheme which required the assembly of fourteen, 131,000 bit long shift registers as well as a high speed delta modulator. The other schemes involved two dimensional delta modulator algorithms.
Schilling, D. L.↗
Delta modulation
The results are presented of a study dealing with the problems of source encoding using delta modulation. An algorithm is described which was employed in the design of an adaptive delta modulation. The algorithm is extremely inexpensive to implement and features extremely desirable characteristics such as a 40 db dynamic range and a 90 percent non-redundant word intelligibility at a bit rate of 9.6 kb/s. A new concept is presented in delta modulation design, the nth-order delta modulator. The nth order delta modulator increases the maximum SNR of a delta modulator but not its dynamic range. It is shown that a 2nd order delta modulator, which employs two delta modulators in cascade, results in a 15 db output SNR improvement over a linear delta modulator operating at 27 db. Two additional areas of research are discussed. The first area involves decomposition of voice and the second is concerned with the source encoding of video signals.
Schilling, D. L.↗
The transmission of low frequency medical data using delta modulation techniques.
The transmission of low-frequency medical data using delta modulation techniques is described. The delta modulators are used to distribute the low-frequency data into the passband of the telephone lines. Both adaptive and linear delta modulators are considered. Optimum bit rates to minimize distortion and intersymbol interference are discussed. Vibrocardiographic waves are analyzed as a function of bit rate and delta modulator configuration to determine their reproducibility for medical evaluation.
Arndt, G. D.↗
Robust delta modulation.
A new Robust Delta Modulator configuration is presented. The system is optimum in the sense of minimizing the mean square error. Under certain conditions it is shown that the optimum system reduces to an enhanced Abate scheme. The optimum system, obtained by Song, uses the polarity of the past two samples and the signal estimates, to obtain the appropriate step size. Since the signal statistics are estimated by the system they are not needed a priori. The system has been constructed and tested. Experimental pictures and voice tapes are presented.
Song, C. L.↗
Delta modulation
A paper describing the basic delta modulation systems studied was published. A second paper, describing the systems response to voice and video was presented at the International Communications Conference in June 1972, and a third paper describing several delta modulation systems used for voice and video is scheduled for presentation at the National Telecommunications Conference in December 1972.
Shilling, D. L.↗
Voice encoding for the Space Shuttle using adaptive delta modulation
The paper describes the SONG and modified ABATE adaptive delta modulation algorithms for voice encoding. Waveforms of the response of the delta modulators to channel errors are given, and performance data which show the relationship between channel errors and word intelligibility are provided. An analytic derivation yielding a comparison between PCM and adaptive delta modulation with respect to channel errors is given. The Space Shuttle is employing the modified-ABATE device because it can tolerate a high error rate and operates at a relatively low sampling rate.
Schilling, D. L.↗
Three level delta modulation
The basic concept of three-level delta modulation (TLDM) is to quantize the error signal of a delta modulator into three levels instead of the usual two levels as in ordinary DM. A TLDM system must be able to transmit three different signals, corresponding to three possible states of the quantizer, whereas the ordinary DM system has to transmit only two signals. The problem of transmitting these signals over a noisy channel is examined, where the input signal is band-limited Gaussian noise. Two parameters that can be adjusted to optimize the performance of the system with respect to quantizing noise are considered: step size and quantizer threshold setting. The effect of additive channel noise on the performance of a TLDM system is assessed in terms of baseband transmission, probability of error, FSK and PSK transmission, transmission bandwidth, and baseband pulse transmission. It is concluded that TLDM can provide a 5 to 6 dB improvement in quantizing signal to noise ratio over ordinary DM for band-limited Gaussian signals. This improvement can be achieved without increasing the channel bandwidth and with an increase in system threshold of less than 2 dB.
Frank, J.↗
A variable-step-size robust delta modulator.
Description of an analytically obtained optimum adaptive delta modulator-demodulator configuration. The device utilizes two past samples to obtain a step size which minimizes the mean square error for a Markov-Gaussian source. The optimum system is compared, using computer simulations, with a linear delta modulator and an enhanced Abate delta modulator. In addition, the performance is compared to the rate distortion bound for a Markov source. It is shown that the optimum delta modulator is neither quantization nor slope-overload limited. The highly nonlinear equations obtained for the optimum transmitter and receiver are approximated by piecewise-linear equations in order to obtain system equations which can be transformed into hardware. The derivation of the experimental system is presented.
Song, C. L.↗
The Space Shuttle Ground Terminal Delta Modulation System
Shuttle voice processing uses a Variable Slope Delta Modulation scheme which is a variant of the ABATE algorithm. This paper summarizes the ground terminal subsystem which processes the multiplexed voice and telemetry data digital sequence in the downlink processing and digitizes the voice signal in the uplink processing. The Delta Modulation System (DMS) performance characteristics are given in terms of an intelligibility test score and in terms of time and frequency responses measured on a production system developed for NASA Goddard Space Flight Center. Implementation details of the encoder and decoder algorithms are given in terms of the circuit logic used to implement them.
Auger, R. L.↗
Effect of channel errors on delta modulation transmission
We have considered the response of a variable step size delta modulator communication system, to errors caused by a noisy channel. For the particular adaptive delta modulation scheme proposed by Song, Garodnick, and Schilling (1971), we have a simple analytic formulation of the output error propagation due to a single channel error. It is shown that single channel errors cause a change in the amplitude and dc level of the output, but do not otherwise affect the shape of the output waveform. At low channel error rates, these effects do not cause any degradation in audio transmission. Higher channel error rates cause overflow or saturation of the step size register. We present relationships between channel error rate, register size, and the probability of register overflow.
Rosenberg, W. J.↗
Delta modulation
The conclusions of the design research of the song adaptive delta modulator are presented for source encoding voice signals. The variation of output SNR vs input signal power/when 8, 9, and 10 bit internal arithmetic is employed. Voice intelligibility tapes to test the 10-bit system are used. An analysis of a delta modulator is also presented designed to minimize the in-band rms error. This is accomplished by frequency shaping the error signal in the modulator prior to hard limiting. The result is a significant increase in the output SNR measured after low pass filtering.
Schilling, D. L.↗
Techniques for correcting transmission errors in video adaptive delta modulation channels
We investigated the effects of channel errors on an adaptive delta modulator used to encode video signals. The investigation revealed that channel errors caused a permanent shift in the dc level of the delta modulator's estimate. Errors in the step size, on the other hand, were transitory and had no noticeable effect on the received pictures. We then presented three error correction schemes to minimize the visibility of the channel errors in the received picture. The first scheme required the transmitter to periodically send the correct dc level of the estimate to the receiver. The second method employed a leaky integrator, and the third method used line-to-line interpolation
Scheinberg, N.↗
The effect of interference on delta modulation encoded video signals
An adaptive delta modulator which encodes composite color video signals was shown to provide a good response when operating at 16 Mb/s and near-commercial quality at 23Mb/s. The ADM was relatively immune to channel errors. The system design is discussed and circuit diagrams are included.
Schilling, D. L.↗