3.18 A PCM system uses a uniform quantizer followed by a 7-bit binary encoder. The bit rate of the system is equal to 50 x 10 bis. (a) What is the maximum message bandwidth for which the system operates satisfactorily? (b) Determine the output signal-to-(quantization) noise ratio when a full-load sinusoidal medulating wave of frequency 1 MHz is applied to the input. 3.26 C
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- The information in an analog waveform, whose maximum frequency fm-D4000HZ, is to be transmitted using a 16-level PAM system. The quantization must not exceed +1% of the peak-to peak analog signal. (a) What is the minimum number of bits per sample or bits per PCM word that should be used in this system? (b) What is the minimum required sampling rate, and what is the resulting bit rate? (c) What is the 16-ary PAM symbol Transmission rate?An analog signal with a bandwidth of 4.2 MHz is to be converted into binary PCM and transmit- ted over a channel. The peak-signal quantizing noise ratio at the receiver output must be at least 55 dB. (a) If we assume that P=0 and that there is no ISI, what will be the word length and the number of quantizing steps needed? (b) What will be the equivalent bit rate? (c) What will be the channel null bandwidth required if rectangular pulse shapes are used?Q2/ The information in an analog signal voltage waveform is to be transmitted over a PCM system with an accuracy of ±0.1% (full scale). The analog voltage waveform has a bandwidth of 100 Hz and an amplitude range of -10 to +10 volts. Find the minimum sampling rate required. i) ii) Find minimum bit rate required in the PCM signal. Find the number of bits in each PCM word. iii) iv) Find the minimum absolute channel bandwidth required for the transmission of the PCM signal.
- Problem 2: The information in an analog signal voltage waveform is to be transmitted over a PCM system with an accuracy of ± 0.1 % of the peak-to-peak analog signal. The analog voltage waveform has a bandwidth of 100 Hz and an amplitude range of – 10 to + 10 Volts. Determine the minimum sampling rate required. b. Determine the number of bits in each PCM word. c. Determine the minimum bit rate required in the PCM system. d. Determine the minimum absolute channel bandwidth required for the transmission of the PCM signal.4. This problem addresses the digitization of a television signal using pulse-code modulation. The signal bandwidth is 4.5 MHz. Specifications of the modulator include the following: Sampling: 15% in excess of the Nyquist rate Quantization: uniform with 1024 levels Encoding: binary Determine (a) the Nyquist rate, and (b) the minimum permissible bit rate.The information in an analog voltage waveform is to be transmitted over a PCM system with a 10.1% accuracy (full scale). The analog waveform has an absolute bandwidth of 100 Hz and an amplitude range of -10 to +10 V. (a) Determine the minimum sampling rate needed. (b) Determine the number of bits needed in each PCM word. (c) Determine the minimum bit rate required in the PCM signal. (d) Determine the minimum absolute channel bandwidth required for transmission of this PCM signal.
- 4. The information in an analog voltage waveform is to be transmitted over a PCM system with a F 0.2% accuracy (full scale). The analog waveform has a bandwidth of 200 Hz, and an amplitude range of -5 to +5 V. determine the following: - The minimum sampling rate needed. - The number of bits needed in each PCM word. - The minimum bit rate in the PCM signal. - The minimum channel bandwidth for transmission of this PCM signal.Please assist with question 2 with details on how to do it. Thank you. 2. This problem addresses the digitization of a television signal using pulse-code modulation. The signal bandwidth is 4.5 MHz. Specifications of the modulator include the following: Sampling: 15% in excess of the Nyquist rate Quantization: uniform with 1024 levels Encoding: binary Determine (a) the Nyquist rate, and (b) the minimum permissible bit rate.Q4/ A PCM system uses a uniform quantizer followed by a 7-bits binary encoder. The bit rate of the system is equal to 50 ×10ºbitss/sec. i) What is the maximum message signal bandwidth for which the system operates satisfactorily? (ans, maximum message bandwidth is 3.57 MHz) Calculate the output signal to quantization noise ratio when a full load sinusoidal modulating wave of frequency 1 MHz is applied to the input. (ans. dB 43.9 dB)
- (a) Define sampling and quantization. (b) Pulse Code Modulation (PCM) transforms analogue signals into binary digits where it has to be translated into electrical pulses before transmitting in the baseband channel. Each bit in the PCM sequence has bit time slot T = 0.5 ms and the PCM bits as follows: 1010 1100 0110 (i) Convert the binary digits into its basic pulse waveform representation and delay modulation waveform. (ii) Explain the differences of the converted PCM waveforms in Q4(b)(i).A PCM system uses an uniform quantizer followed by a 8 bit encoder. The sampling frequency exceed Nyquest frequency by 70%. 1) Determine the bandwidth of message. B) Determine the signal to noise ratio when a sinusoidal signal has peak amplitude 5volt.Consider error control methods in digital signal transmission. Assume Hamming code is used with even parity. (a) Assume the received code word is 1110101001, determine if the code word is correct. If no, identify the wrong bit and obtain the original data word. (b) If the analogue signal before digitalisation is of frequency from 200 Hz to 1.5k Hz. What is the lowest sampling frequency? (c) Following (a) (b), determine the bandwidth requirement for transmitting the digital message.