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QUESTION 28 3 points Save The Siter coefficients of a second-order digital IR filter are: ao-1,a1-2, a2-2, bo-1. b1-1/2, b2 1/8. (a's are numerator coetficients and b's are the denominator coefficients). Determine the value of the impulse response N4? QUESTION 29 6 points Save Answer An image is to be sampled with a signal-to-quantisation ratio of at least 55 dB. The image samples are non-negative. The image sample values fall within the range from 0 to 1. How many bits are needed to achieve the desired signal-to- quantisation noise ratio (SQNR)? Assume that the intensities of the image are uniformly distributed over the (0, 1)1. Note that follows: klcXmax The signal power istax2. Provide the answer for the number of bits as whole QUESTION 30 3 points Save Answer Windowing based FIR fiter design techniques truncate the impuise response of an ikleal zero- impulse response. Design a 5-point causal FIR low pass filter with cut-off frequency at 400 Hz for a sampling rate of 4000 Hz by using the Rectangular Window. The filter must be causal. You should hin) for ne0, 1, 2,3, 4. In the box shown below, provide the express your filter in terms of its impulse response answer for the fourth value of the impulse response h(3) only QUESTION 24 Design a second-order IR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue filter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/s). Express the digital transfer function of the filter H(z) as: (aorayz 1-apz 2 egrbye1.bz2 In the box below, provide the numerical answer for b2. Note: Don't normalise the transfer function, ie. bo1). QUESTION 25 The fiter coefficients of a second-order digital lIR filter are: ao- 1, a1 - -2, a2-2, bo 1, b1 1/2, b2 1/8. (a's are Hemi where ω-4573 numerator coefficents and b's are the denominator coefficients). Compute the magnitude response rad/sec.

Answer 1

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Question 2g -taking

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