



4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train...
A video signal has bandwidth of 4 MHz. This signal is sampled, quantized, and binary encoded using the PCM technique. The video signal amplitude is uniformly distributed in the range (-2, 2). If the signal is sampled at the Nyquist rate and quantized into 512 levels: (a) Determine the bit rate. (b) Determine the signal-to-quantization-noise ratio. (©) If the signal-to-quantization-noise ratio must be increased by a factor of 16, how you can achieve that? Will this affect the bit rate?...
Given a signal g(t) = 20 cos(140πt): a. Calculate the signal bandwidth. b. Can the Signal be recovered if sampled at a rate (fs) of 200 samples per second? Justify your answer mathematically. c. With fs = 200 samples per sec and quantization levels (L) = 8, calculate the first 3 samples, first 3 quantized samples, and the binary codes of the first 3 samples. Assume sampling starts at t=0 and natural binary code is used.
2) An analog video signal with a bandwidth of 5 MHz. is sampled at one and half times the Nyquist rate. The signal is then quantized using a uniform quantizer. The resulting output is then sent over a channel with a bandwidth of 94 MHz. using binary PAM with a raised cosine pulse with a roll-off factor of α = 0.25 a) Find the maximum number of quantiozation levels possible (2 Marks) b) Find the resulting Signal-to-Quantization-Noise Ratio (make any...
(5) A PCM system encodes samples using an 8-bit ADC. In the case of peak signal amplitude, estimate the signal to quantization noise ratio in dB (6) The output SQNR of a 10-bit PCM was found to be insufficient at 30 dB. To achieve the desired SQNR of 42 dB, an increase to the number of quantization levels was needed. Determine the fractional increase in the transmission bandwidth required. (7) A signal x(t) band-limited to 3kHz is sampled at a...
Consider an audio signal with spectral components limited to the frequency band 300 to 3300Hz. Assume that a sampling rate of 8000 samples/sec will be used to generate a PCM signal. Assume that the ratio of peak signal power to average quantization noise power to average quantization noise power at the outputs needs to be 30dB What is the minimum number of uniform quantization levels needed, and what is the minimum number of bits per sample needed. Calculate the system...
KS31603 SULIT/CONFIDENTIAL QUESTION 4 (20 marks) (a) A message signal has a peak voltage of 1V and its average power is 125 mW. Design a PCM system (find minimum value of R of the R bit A/D) with uniform quantization to achieve at least a signal to quantization noise ratio of 36 dB. What is the signal to quantization noise ratio obtained in your design? [6 marks] (b) If the signal is sampled at 9kHz in 4(a), what is the...
The signal x(t)=cos(2πt) is ideally sampled with a train of impulses. Sketch the spectrum Xδ(f) of the sampled signal, and find the reconstructed signal x(t), for the following values of sampling period Ts and ideal lowpass reconstruction filter bandwidth W': (a) Ts = 1/4, W' = 2 (b) Ts= 1, W' = 5/2(c) Ts = 2/3, W' = 2
Assume that an analog audio voice-frequency (VF) telephone signal m(t) occupies a band from 300 Hz to 3000 Hz. The signal is to be converted to a PCM signal for transmission over a digital telephone system. The signal is sampled at a rate 33.3% higher than the Nyquist rate. The maximum acceptable quantizatiorn error is 2% of the peak amplitude of m(t). The quantized samples are binary coded. Find the minimum bandwidth B of a noiseless channel required to transmit...
2. a. Find Eb/No and Amplitude A required to give Pb 10-5 for the following coherent digital modulation schemes if No-10-5 and time is 0.5msec i. On-Off keying (ASK), ii. BPSK, iii. BFSK and v. BPSK with a phase error of 5 deg. Consider an audio signal with spectral components limited to the frequency band 300 to 3300 Hz. Assume that the sampling rate of 8000 samples/s will be used to generate a PCM signal. The ratio of peak signal...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...