Please the solution must be step by step I will rate it ASAP

Please the solution must be step by step. I will rate it ASAP

Multidimensional Signal Processing

A basic two-dimensional discrete-time finite impulse response (FIR) filter, with impulse response function of the form h[mo.n no,n e Z xZ is normally used N for filtering two-dimensional discrete-time signals. Figure 1 below gives the values in parentheses of the finction h[mo,n at three specific domain values of no for the horizontal axis and three specific values of n for the vertical axis (3) Figure 1: hmpulse Response Function of FIR Filter The two-dimensional discrete-time Fourier transform DTFT of the impulse response function hlno.nl given by Figure 1 above can be calculated through the following analytic expression: mnin, le Janno e-jan. noeZN niez Compute the discrete-time Fourier transform (DDFT) of the output of the filter if the input signal is given by the following signal: jar(no-Me

Solution

The backfin of a power mosfet has dimensions 1.0 cm x 1.3cm and a thickness of 1.585mm. It is made out of copper. The purpose of the backfin here is to carry away the heat from the si-based chip attached to the backfin (and here burried in a black plastic case). Thus the backfin is (usually) electrically connected to the mosfet. To mount to a grounded case (Aluminum, quite thick, and at room temperature, 23 oC), an electrically insulating, plastic layer of thickness 0.2873mm and of thermal conductivity 90 W/oC/m is placed between the fin and the aluminum. Assume that the aluminum stays throughout at 23 oC degrees. The mosfet will fail catastrophically (thermal runaway) if its temperature gets above 180oC.
(a) If its RDS in the \"on\" state is 78.88 mOhms, what is the maximum current it can safely conduct in steady state in this mount?
(b) Supose the mosfet was operating just at the breaking point...what would then be the temperature at the shared surface between the copper and the plastic layer?