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question 1 the setting is the extended complex plane which includes the point at infinitya point z0 is a fixed point of
question 1 prove that the composition of two linear fractional transformations is a linear fractional transformation2
question find a linear fractional transformation taking the given points to the indicated images1 rarr 1 2 rarr -i 3
question let d consist of all z in the rectangle having vertices plusmn alpha i and pi plusmn alpha i with alpha a
question 1 show that the mapping w 1z maps every straight line to a circle or straight line and every circle to a
question graph the curve determine its initial and terminal points whether it is closed or not closed whether or not it
question a set of points complex numbers is given determine whether the set is open closed open and closed or neither
question 1 determine the set of all z satisfying the given equation or inequality in some cases it may be convenient to
question 1 apply separation of variables to solve the following mixed boundary value problem2 solve for the
question 1 solve for the steady-state temperature distribution in a thin flat plate covering the rectangle 0 le x le 4
question 1 find the eigenvalues and eigenvectors and diagonalization matrices by hand and explain each step in details2
question using matlab estimate the power spectral density of the following signalxk 2 cos04pik theta1 4 cos08pik
question consider the following deterministic signalx1k 2 sin02pik 3 cos05pikusing a dft magnitude spectrum estimate
question using the bilinear transformation design a highpass iir filter based on the following specifications design a
question using the kaiser window design a bandstop fir filter based on the following specificationsstop-band edge
question using the impulse invariance transformation and a sampling interval of t 01 s convert the following analog
question using the fir1 function in matlab design a 41-tap lowpass filter with a normalized cut-off frequency of n 055
question using the fir1 function in matlab design a 45-tap linear-phase bandpass fir filter with pass-band edge
question the fir2 function in matlab is used to design fir filters with arbitrary frequency characteristics using fir2
question truncate the impulse response of an ideal bandstop fir filter with edge frequencies of 025pi and 075pi with a
question a use the impulse invariance method to show that the analog transfer function given byhs