Contradict Or justify the fo||ow,ng statcment1) HR and FIR Filter can be designed with LinearPhase.2) Frequency transformation from Analog filter toDigital filter is One to One in BLT method and Many )to One in Impulse Invariant method. !Sardar Patel Institute of Technolopvavan s Campus, Munshi Nagar. Andheri (West) Mumbai 400Q5S Mr(Autonomous Institute Affili-- ■ ■ wll|mbal-400058-Indiazeros at origin, H2(z) has two zeros at origin. The transferfunction Hj(z) is given by -= 1+1.5 z"1 - 1.5 -(1) Find first 6 samples of hi(n) and h2(n) 1(2) Find the overall transfer fund,on and first five !coefficient of corresponding impulse response. IJ3) Classify the total system, based on an impulse response. |The --------------------y(n) = 3y(n-2) + 2y(n_l) + x(rl)_|x(n_|) jgyiated to University of Mumbai)■j-------------------iI

1. HR and FIR Filter can be designed with LinearPhase. To contradict or justify this statement, we need to understand the concept of linear phase in filter design. Linear phase refers to a filter's ability to introduce a constant delay to all frequencies in the input signal. This means that all frequencies are delayed by the same amount, preserving the relative timing of different frequency components.

HR (Halfband) and FIR (Finite Impulse Response) filters can indeed be designed with linear phase. HR filters are a type of FIR filter that have a specific frequency response characteristic, while FIR filters are a general class of filters with a finite impulse response.

To justify the statement, we can say that both HR and FIR filters can be designed to have linear phase characteristics. This can be achieved by carefully designing the filter coefficients and ensuring that the filter's frequency response is symmetrical.

2. Frequency transformation from Analog filter to Digital filter is One to One in BLT method and Many to One in Impulse Invariant method. To analyze this statement, we need to understand the two methods mentioned: the bilinear transform (BLT) method and the impulse invariant method.

In the BLT method, the frequency transformation from an analog filter to a digital filter is indeed one-to-one. This means that each frequency in the analog filter corresponds to a unique frequency in the digital filter. The BLT method preserves the frequency response of the analog filter by mapping the entire frequency range onto the digital frequency range.

On the other hand, in the impulse invariant method, the frequency transformation is many-to-one. This means that multiple frequencies in the analog filter can map to the same frequency in the digital filter. The impulse invariant method aims to preserve the impulse response of the analog filter by matching the impulse response of the digital filter to the impulse response of the analog filter at specific time instances.

Therefore, to justify the statement, we can say that the frequency transformation is indeed one-to-one in the BLT method and many-to-one in the impulse invariant method.

Please note that the given text contains additional unrelated information about Sardar Patel Institute of Technology and the University of Mumbai, which is not relevant to the question.