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

Problem Three: Nonlinear systems (20 points An algorithm for a uniform two-dimensional quantizer can be described in six (6 steps provided that the two-dimensional signal data to be quantized is assumed to be stored in a given array, say x min The domain of this data is a set of the form ZM x Z The co-domain of this signal is the set Si 20 of non-negative real numbers. Write a MATLAB program to implement this algorithm following the six steps below. Compute min x[m,k]H and compute max txlm, 2) Select number of quantization levels E 2 2 3) Compute quantization step max x 1m, n mint 1m, n 4) Set first quantization level min, m,n 5) Compute other levels as 6) Compute quantization values as k E Z

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?