DSP unit 1

Compute x1(n)+x2(n) If x1(n)={1,0,1} and x2(n)={2,1,0}

• {3,1,1}

• {5,1}

• {2,1,1}

• {3,2,2}

Calculate the sampling frequency of the signal whose maximum frequency is 5kHz

• 10 kHz

• 20 kHz

• 15 kHz

• 25 kHz

Choose the process that is used to reduce the sampling rate by an integer factor

• Decimation

• Interpolation

• Sampling rate conversion

• Multi rate conversion

Predict the number of samples in the output of a DT-LTI system if x[n] has 5 samples and h[n] has 5 samples.

• 9

• 8

• 7

• 6

Determine the number of zeros to be padded to perform circular convolution between x1(n) which has 10 samples and x2(n) which has 7 samples

• 3 trailing zeros to x2(n)

• 3 leading zeros to x2(n)

• 9 trailing zeros to x2(n)

• 8 trailing zeros to x2(n)

Evaluate the result of circular convolution given x1(n) = {1,2,3} and x2(n)={4,5}

• {19,13,22}

• {19,14,22}

• {19,14,0}

• {19,0,22}

Determine the number of zeros to be padded with h(n) if linear convolution has to be performed using circular convolution. Let the number of samples in x(n) be 5 and the number of samples in h(n) be 6.

• 4

• 5

• 10

• 11

Evaluate the result of the overlap and save method of sectioned convolution performed on a long sequence x(n) and the impulse response, h(n) of length 3 samples, if the outputs signals obtained after the convolution of each block of x(n) with h(n) are y1={1,2,3,4}, y2={1,1,1,1} and y3={2,1,0,0}.

• {3, 4, 1, 1, 0, 0}

• {1, 2, 4, 5, 3, 2, 0, 0}

• {1, 2, 1, 1, 2, 1}

• {1, 2, 3, 4, 1, 1, 1, 2, 1}

Choose the role play by a decimator in multi-rate DSP applications

• a) Reducing the sampling rate of a signal

• b) Increasing the sampling rate of a signal

• c) Enhancing the frequency response of a signal

• d) Improving the resolution of a signal

Choose the correct statement that describes the concept of down-sampling in multi-rate DSP

• a) Increasing the sampling rate of a signal

• b) Decreasing the sampling rate of a signal

• c) Transforming a signal to the frequency domain

• d) Applying a low-pass filter to remove high-frequency components