[3 marks) 1. Find a condition for Ts to correctly sample x(t) = 50sin(2nt) + cos(107t + 0.1)+cos (207t) 2. Fill in the required spaces with the labeling or a diagram i. Identify the type of modulation in front of the respective diagram. [Total 4 marks) [2 marks] MESSAGE SIGNAL TIME SAMPLING SIGNAL TIME a) TIME AMPLITUDE AMPLITUDE AMPLITUDE AMPU b) TIME c) TIME [marks 2] Draw the resultant wave after finite pulse width sampling. pit) X(t).P(t) 1 1 0.5 0.5 0.5 0 0 0 -0.5 -0.5 -0.5 0 0.5 1 1 1 0.5 Time (5) Time (s) Time (5) Figure : Finite Pulse Width Sampling 3. Let x(t) be a signal with Nyquist rate ks. Determine the Nyquist rate for each of the following signals: [Total 5 marks) i. x(t) + X(t-1) [1 mark] x(t)cos(kst) [4 marks] 4. Find the sampling frequency for the signal shown be below. [2 marks] M() 20 Hz 40 Hz 5. For a non-sinusoidal input signal applied to PCM has a maximum frequency of 4kHz and the input range varies from -4.8 V to +4.8 V. The average power of input signal is 30mW. The target output SNR is 20dB. Assume uniform quantization and PCM produces binary Output. (Total 4 marks] i. Calculate the number of bits required to represent each sample. Identify the transmission bandwidth. [3 mark] [1 marks 6. A TV sinusoidal signal with a maximum frequency of 42MHz is transmitted using binary PCM. The number of quantization level is 1024. Calculate [Total 7 marks) i. Code word length [2 mark] ii. Transmission bandwidth [1 mark] iii. Average output SNR [2 marks] iv. Bit rate [2 marks] [3 marks) 1. Find a condition for Ts to correctly sample x(t) = 50sin(2nt) + cos(107t + 0.1)+cos (207t) 2. Fill in the required spaces with the labeling or a diagram i. Identify the type of modulation in front of the respective diagram. [Total 4 marks) [2 marks] MESSAGE SIGNAL TIME SAMPLING SIGNAL TIME a) TIME AMPLITUDE AMPLITUDE AMPLITUDE AMPU b) TIME c) TIME [marks 2] Draw the resultant wave after finite pulse width sampling. pit) X(t).P(t) 1 1 0.5 0.5 0.5 0 0 0 -0.5 -0.5 -0.5 0 0.5 1 1 1 0.5 Time (5) Time (s) Time (5) Figure : Finite Pulse Width Sampling 3. Let x(t) be a signal with Nyquist rate ks. Determine the Nyquist rate for each of the following signals: [Total 5 marks) i. x(t) + X(t-1) [1 mark] x(t)cos(kst) [4 marks] 4. Find the sampling frequency for the signal shown be below. [2 marks] M() 20 Hz 40 Hz 5. For a non-sinusoidal input signal applied to PCM has a maximum frequency of 4kHz and the input range varies from -4.8 V to +4.8 V. The average power of input signal is 30mW. The target output SNR is 20dB. Assume uniform quantization and PCM produces binary Output. (Total 4 marks] i. Calculate the number of bits required to represent each sample. Identify the transmission bandwidth. [3 mark] [1 marks 6. A TV sinusoidal signal with a maximum frequency of 42MHz is transmitted using binary PCM. The number of quantization level is 1024. Calculate [Total 7 marks) i. Code word length [2 mark] ii. Transmission bandwidth [1 mark] iii. Average output SNR [2 marks] iv. Bit rate [2 marks]