Problem 1 The discrete-time signal ?(?) = 6.35cos ( ? 10 ?) is quantized with a...
Problem 1 The discrete-time signal ?(?) = 6.35cos ( ? 10 ?) is quantized with a resolution
(I) ∆ = 0.1
(II) ∆ = 0.02
(a) How many bits are required in the A/D converter in each case?
(b) Compute the signal-to-quantization noise ratio (SQNR) in decibels of the signal ?(?) in each case.
(c) Compute the average power of the signal ?(?) in each case.
(d) Compute the mean-square error power of the signal ?(?) in each case.
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Problem 1 The discrete-time signal ?(?) = 6.35cos ( ? 10 ?) is
quantized with a...
(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...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at the Nyquist rate and converted to a digital signal using an A/D converter such that the output signal-to-quantization noise ratio is at least 40 dB. Using your engineering judgment, choose the number of bits for the A/D converter and determine the bit rate (i.e., the number of bits/sec).
Answer all parts and show all steps please. 3323 Modern Digital and Analog Communication Question A...
Answer all parts and show all steps please.
3323 Modern Digital and Analog Communication Question A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz (a) If signal is sampled at the Nyquist rate and the samples are uniformly digitized into L 65,536 levels and then binary-coded, determine the number of bits required to encode a sample (b) If the audio signal has average power of 0.1 W and a...
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts....
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts. The analog input signal is t)4 cos (7000Tt). The converter samples the input signal at 8 ksam/s and supplies data to computer 64 kbits/s. The computer re- construct the transmitted signal, x,(C), by using an ideal DAC on the received signal. Determine: (a) The quantizer resolution (or step) (b) Mean squared quantization error (noise) power (c) The folding frequency (d) The reconstructed signal x,...
2. a. Find Eb/No and Amplitude A required to give Pb 10-5 for the following coherent digital modu...
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...
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...
Please help me these questions of "Principles of Communications" subject. Thanks in advance! Problem 2: PCM syst...
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
An analog to digital converter is to be designed for a digital communication system. In this...
An analog to digital converter is to be designed for a digital communication system. In this converter, the output of the sampler varies between +3V and -3V. a. Design a uniform quantizer with minimum peak signal power to average quantization noise power ratio equal to 28 dB. Draw a complete diagram of the quantizer clearly showing quantile interval and quantization levels. Show each design step in detail. Accuracy up to 4 decimal places is required. b. Using the quantizer designed...
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...
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time i...
Please show all your working and steps and formular used. Thank
you
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time is a random variable whose PDF is showing in Figure 1. We want to transmit this signal using a uniform PCM system (a) Show that a (b) Determine the power in X(t) (c) What is the SQNR is decibels if a PCM system with 128 level is employed....
(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...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at the Nyquist rate and converted to a digital signal using an A/D converter such that the output signal-to-quantization noise ratio is at least 40 dB. Using your engineering judgment, choose the number of bits for the A/D converter and determine the bit rate (i.e., the number of bits/sec).
Answer all parts and show all steps please.
3323 Modern Digital and Analog Communication Question A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz (a) If signal is sampled at the Nyquist rate and the samples are uniformly digitized into L 65,536 levels and then binary-coded, determine the number of bits required to encode a sample (b) If the audio signal has average power of 0.1 W and a...
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts. The analog input signal is t)4 cos (7000Tt). The converter samples the input signal at 8 ksam/s and supplies data to computer 64 kbits/s. The computer re- construct the transmitted signal, x,(C), by using an ideal DAC on the received signal. Determine: (a) The quantizer resolution (or step) (b) Mean squared quantization error (noise) power (c) The folding frequency (d) The reconstructed signal x,...
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...
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...
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
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...
Please show all your working and steps and formular used. Thank
you
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time is a random variable whose PDF is showing in Figure 1. We want to transmit this signal using a uniform PCM system (a) Show that a (b) Determine the power in X(t) (c) What is the SQNR is decibels if a PCM system with 128 level is employed....
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