EE352- Digital Communication Exercise [1] Name: ID: Date: 1- A message signal given by π(π‘) = 4 sin(2π × 200π‘) is sampled with minimum sampling rate (Nyquist rate) and quantized using 16 levels, find: ππ = ππ = a. Step size: β= b. Average power of quantization noise: ππ = c. Signal-to-quantization noise ratio: πππ = d. Number of bits per sample: β = e. Total bit rate: π π = f. Minimum bandwidth: π΅ = 2- For a compact disc (CD) audio signal, if the sampling rate is 44.1 kHz is used and quantized to 65536 levels. Find the bit rate. πΏ= 3- Sketch the line coding for an input binary sequence (10001001) for: a. Unipolar Non-Return-to-zero (NRZ) b. Polar NRZ c. Unipolar RZ d. Polar RZ e. Bipolar NRZ encoding f. Manchester encoding a. b. c. d. e. f. 4- State the binary sequence for each of the following figures: a. Unipolar Non-Return-to-zero (NRZ) c. Unipolar RZ e. Bipolar NRZ encoding b. Polar NRZ d. Polar RZ f. Manchester encoding 5- For the following figures plot Delta modulation and type encoded bits: 6- A compact disc (CD) records audio signals digitally by using PCM. Assume the audio signal bandwidth to be 15 kHz. a. What is the Nyquist rate? b. If the Nyquist samples are quantized into L = 65536 levels and then binary coded, determine the number of binary digits required to encode a sample. c. Determine the number of binary digits per second (bit/s) required to encode the audio signal. d. The signal should be sampled at a rate well above the Nyquist rate. Practical CDs use 44100 samples per second. If L = 65536, determine the number of bits per second required to encode the signal and the minimum bandwidth required to transmit the encoded signal. Sol. 7- A television signal (video and audio) has a bandwidth of 4.5 MHz. This signal is sampled, quantized, and binary coded to obtain a PCM signal. a. Determine the sampling rate if the signal is to be sampled at a rate 20% above the Nyquist rate. b. If the samples are quantized into 1024 level, determine the number of binary pulses required to encode each sample. c. Determine the binary pulse rate (bits per second) of the binary-coded signal, and the minimum bandwidth required to transmit this signal. Sol. 8- True or False: a. The system is more complex in Differential pulse code modulation than Delta modulation. ( ) b. The system is more complex in Delta modulation than pulse code modulation. ( ) c. The transmission bandwidth in Differential pulse code modulation is higher than in Delta modulation. ( )
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