Sample problem- 10 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 106 bits/sec. What is the maximum message signal bandwidth for which the system operates satisfactorily?
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- 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.(3) Five telemetry signals, each of bandwidth 1kHz, are to be transmitted simultaneously by binary PCM. The maximum tolerable error in sample amplitudes is 0.2% of the peak signal amplitude. The signals must be sampled at least 20% over the Nyquist rate. Framing and synchronizing require an additional 0.5% extra bits. Determine the minimum possible data rate that must be transmitted, and the minimum bandwidth required to transmit this 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.
- 4. A signal is digitized using pulse-code modulation. The signal bandwidth is 10MHz. Encoding: Binary a) Determine the Nyquist rate. b) If the sampling rate is lower than the Nyquist rate, what effect occurs? What problem does it cause? c) Assuming return-to-zero signaling is used to represent the binary symbols 1 and 0, sketch the waveform for the sequence 1110.Discuss how the original signal can be recovered perfectly from the output of the decoder. What are the advantages of PCM system over the other types of modulation systems?Exauple: A Television signal having a bandwidth of 4.2 MHz is transmitted using binary PCM system. Given that the number of quantization levels is 512. Determine: Code rate length Transmission bandwidth Final bit rate Output signal to quantization noise ratio i) ii) iv)
- 3. Some GPS receivers use 1 bit ADCS (Analog-to-digital Converters) to sample and quantize the signal i.e. the output of the ADC is simply 2 quantization levels: -1 or +1. This is typically done to save on power. (a) What is the quantization SNR? How does it compare to typical thermal noise SNR of a GPS signal before correlating with the CDMA code? (b) Justify, how come it is possible to sample the signal using a single bit and still get good performance.Q5/ The information in an analog waveform with maximum frequency fm = 3 KHz is to be transmitted over M-level PCM system where the number of quantization levels is M = 16. The quantization distortion is specified not to exceed 1% of peak-to-peak analog signal. What would be the maximum number of bits per sample that should be used in this PCM system? What is the minimum sampling rate and what is the resulting bit transmission rate? i) ii)Discussion: 1. What are the advantages of PCM system over other types of modulation systems? 2. What are the types of representing binary numbers? 3. The central operation in the generating PCM is the Digital to Analog (A/D) converter. Describe briefly the several techniques that are used in success system. 4. What is meant by the Quantization Partition and Quantization Codebook? 5. Discuss the obtained results.
- - Determine the number of errors that can be detected and corrected for data values with a Hamming distance of (a) 3. (b) 4.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.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?