![The signal m)811 + cos(20rt) cos(1o0t)] (t is in seconds) is sa using an ideal sampling function at the rate of 150 samples/sec. Ea is encoded using a 16-level quantizer. ch sample a. Calculate the bandwidth of the signal m(). (2 Points) b. Is sampling done at, below or above Nyquist rate? Show your work (2 Points) (2 Points) c. Determine the rate of transmission (in bps). (3 Points) d. Find the signal-to-quantization noise ratio (SNR).](http://img.homeworklib.com/questions/4f1cda10-c1a2-11eb-a230-c12d0baf6e1c.png?x-oss-process=image/resize,w_560)
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The signal m)811 + cos(20rt) cos(1o0t)] (t is in seconds) is sa using an ideal sampling...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
5.2-1 A compact dise (CD) records audio signals digitlly by using PCM. Let the au bandwidth...
5.2-1 A compact dise (CD) records audio signals digitlly by using PCM. Let the au bandwidth be 15 kHz. (a) If the Nyquist samples are uniformly quantized into L 65,5 (b) If the audio signal has average power of 0.1 W and peak voltage of 1 V, find the resulting (c) Determine the number of binary digits per second (bit/s) required to encode the audico (d) For practical reasons discussed in the text, signals are sampled at a rate well...
(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...
Quantization. A continuous time signal is to be sampled at a sampling rate 8kHz. It is...
Quantization. A continuous time signal is to be sampled at a sampling rate 8kHz. It is a voltage signal that varies between 10 and -10 V. We would like the quantization noise variance to be no more than 0.09. a) Design an efficient uniform quantizer that satisfies the quantization noise variance condition. For this tell me the step size, whether it is a mid-tread or mid-riser quantizer. Tell me how many levels your quantizer has. (6 marks) b) The quantized...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
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?...
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and...
Communication systems theory:
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and with spectral components limited to the frequency band of 300 Hz to 3300 Hz. The signal is sampled at a rate of 8000 samples/second and used to generate a PCM signal. The signal-to-quantization- noise ratio (SQNR) is required to be maintained at 43.9 dB a) What is the minimum number of uniform quantization levels needed, and what is the minimum number...
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...
Help!!! A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer...
Help!!!
A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer is used to convert the sampled signal into a PCM bit stream. Assume a sampling rate of 2 times the Nyquist rate m(t) .5 0.5 2.5 Time (s) Figure 1: Intelligence signal m(). Determine 1. Determine the quantized sample value and its respective PCM sequence for the following samples: 2Ts, 3Ts and 4Ts 2. What bandwidth would be required to transmit this PCM signal?...
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.
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
5.2-1 A compact dise (CD) records audio signals digitlly by using PCM. Let the au bandwidth be 15 kHz. (a) If the Nyquist samples are uniformly quantized into L 65,5 (b) If the audio signal has average power of 0.1 W and peak voltage of 1 V, find the resulting (c) Determine the number of binary digits per second (bit/s) required to encode the audico (d) For practical reasons discussed in the text, signals are sampled at a rate well...
(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...
Quantization. A continuous time signal is to be sampled at a sampling rate 8kHz. It is a voltage signal that varies between 10 and -10 V. We would like the quantization noise variance to be no more than 0.09. a) Design an efficient uniform quantizer that satisfies the quantization noise variance condition. For this tell me the step size, whether it is a mid-tread or mid-riser quantizer. Tell me how many levels your quantizer has. (6 marks) b) The quantized...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
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?...
Communication systems theory:
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and with spectral components limited to the frequency band of 300 Hz to 3300 Hz. The signal is sampled at a rate of 8000 samples/second and used to generate a PCM signal. The signal-to-quantization- noise ratio (SQNR) is required to be maintained at 43.9 dB a) What is the minimum number of uniform quantization levels needed, and what is the minimum number...
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...
Help!!!
A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer is used to convert the sampled signal into a PCM bit stream. Assume a sampling rate of 2 times the Nyquist rate m(t) .5 0.5 2.5 Time (s) Figure 1: Intelligence signal m(). Determine 1. Determine the quantized sample value and its respective PCM sequence for the following samples: 2Ts, 3Ts and 4Ts 2. What bandwidth would be required to transmit this PCM signal?...
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