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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...
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...
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...
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...
(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...
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...
The signal x(t)=cos(2πt) is ideally sampled with a train of impulses
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
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first...
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first sampled at the rate of 80 samples per second and the result was processed with an ideal reconstruction filter, again assuming that sampling rate was 80 samples per second. What is the signal that results after the reconstruction? Show enough details in your answer to demonstrate that you understand the theory of sampling and reconstruction from samples. Hint: Write (t) as a sum of...
KS31603 SULIT/CONFIDENTIAL QUESTION 4 (20 marks) (a) A message signal has a peak voltage of 1V...
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...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be ab...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Assume that an analog audio voice-frequency (VF) telephone signal m(t) occupies a band from 300 Hz...
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...
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?...
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...
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first sampled at the rate of 80 samples per second and the result was processed with an ideal reconstruction filter, again assuming that sampling rate was 80 samples per second. What is the signal that results after the reconstruction? Show enough details in your answer to demonstrate that you understand the theory of sampling and reconstruction from samples. Hint: Write (t) as a sum of...
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...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
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...
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