1. The analog signal x(t)=2sin 480nt +3sin 720 t. Calculate: i. Minimum sampling rate to avoid aliasing. ii. If the signal is sampled at Fs = 200 MHz what is the discrete signal after sampling. iii If the sianal is sampled at E. = 75 Hz What is the discrete signal after sampling
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- In the figure below, an x(t) signal varying between +- 1.6 V is split into 8 quanta levels and converted to a digital signal. being converted. a) Calculate the quantization gap voltage (step)? b) Draw the PAM, PCM and ASK outputs in this conversion process? c) Calculate bit transmission rate if sampling pulse frequency ?? = 2kHz.(1) The bandwidth of the input signal is 4 MHz. The PCM encoder uses 256 quantization levels. What is the date rate of the PCM encoder? (2) What is the data rate then of a Delta Modulation encoder that uses the same sampling rate as that of the PCM encoder? (3) What is the resulting SNR in (1)?What is a minimum number of sampling frequency required to have distortion free reconstruction of a digital signal from its samples?
- 3/ A Digital Analog Converter of 12 Bits of Precision is available A/ Determine the signal to the system's peak noise ratio B/ If the signal is sampled at 44 kHz. What is the bits rate generated by the system? C/ Determine the required bandwidth if I wanted to transmit this data with a modulator 16-QAM.Consider the analog signalx(t) = 3cos2000pit + 5sin6000pit + 10cos12000pit(a) What is the Nyquist rate for this signal?(b) Assume now that we sample this signal using a sampling rate Fs = 5000 samples/s. What is the discrete time signal obtained after sampling?Exxplain the rellation between BER and E/N_0, where E is the energy per bit,N_0 is the noise spectral density, BER is the bit error rate. What is the reason for usign channel coding?
- Q4. a) Consider a bandlimited message signal of 6kHz bandwidth. It is sampled at the rate of 55% higher than the Nyquist rate. The maximum quantization error of the sample amplitude is 0.5% of the peak amplitude? . Assume binary encoding. Calculate the minimum bandwidth ? of the channel to transmit the encoded binary signal.Question 1(Nyquist-Shannon sampling theorem.) Give detailed information about the Nyquist-Shannon sampling theorem. Explain what Aliasing is in the sampling theorem.3. Which of the following is a key characteristic of orthogonal frequency-division multiplexing?A. Amplitude modulationB. Noise performanceC. Digital modulationD. Spectral efficiency