The signal s(t) is transmitted through an adaptive delta modulation scheme Consi

Question

The signal s(t) is transmitted through an adaptive delta modulation scheme Consider a delta modulation scheme that samples the signal s(t) every 0.2 sec to create s(k). Assume that the first sample, k-1, is taken at t 0.2 The quantizer sends e(k)+1 to the channel if the input s(k) is higher than the output of the integrator z(k), and e(k)-1 otherwise. MODULATOR CHANNEL DEMODULATOR Quantizerelk Integrator s(t) Sampler Low pass Fiter slk) zik) Integrator elk) 2(k) Figure 3-1. Adaptive Delta Modulator the integrator uses Design (a): z(kt 1) = z(k)+0.1 e(k) z(0)-0, e(0)=0 Design (b): z(k+1) = z(k) + 0.1 [e(kjte(k-1), with z(0)=0, e(0)=0, and e(-1)-0 s(t) is a periodic waveform. One period is 0

Explanation / Answer

Answer:

Design (a) uses a shorter form of error signal that gives a less accurate response with adaptive delta modulation system.

Design (b) uses a more precise error signal since it contains the error term e(k-1). It considers error/noise coming from the previous instant as well.

Design (a) has an advantage that it is easy to implement but the disadvantage is it is less accurate.

Design (b) is advantageous since it is highly accurate but the disadvantage is that it is computationally complex.

To improve the system, we can add more error terms like e(k-2), e(k-3), etc.

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