2. Find out the Laplace Transform and ROC of the following signal: [5] at Tult) Make sure to write all the steps. Finally, show your working to find out the ROC of the entire transformed signal in the s-plane. Use the concept of RSS or LSS or DsS to determine your ROC.

Calculate the next z transform using the properties of the z transform.

2. A commonly used form of the one-dimensional discrete cosine transform is as follows: In this formula, k, the index of the DCT coefficient, runs from 0 to N-1. Which option presents the DCT coefficients of the following sequence (You can write a program or do it manually): 1=(05.207-1414-0210-13 O 1.7000 0.4240.6374 0.4941 1.2021 2.5732 -0.4936 2.329 O 2.7000 -0.4244 -0.6374 0.4941 -1.2021 0.5732 -0.4936 2.329 O 1.7000 0.4244 0.6374 0.4941 -1.2021 0.5732 -0.4936 2.329 O None of the above Code Image png

a) A siganl x (1) = te-b'u (t) +P,(t-3). find its frequency transform b. Signal: -bt y(t) =ae Dlu (t) +"u (t– 3) find its Laplas transform Hint: use trandform pairs and properties

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I (t) 6cos (500rt) , T Using the CTFS table of transforms and the CTFS properties, identify the CTFS harmonic function of the glven perlodic signal using the representation time Tindicated. Multiple Cholce -6cos (500nt) -3 (8 [k – 5] + 8 [k +5]) -6cos (500nt) -3 (8 [k – 5] – 8 [k +5]) -6cos (500nt) 3 3 (8 [k – 5] – 8 [k + 5]) FS -6cos (500nt) 3 (8 [k – 5] + 8 [k +5])

Solve all sub parts...I will upvote

Use the definition to compute the z-transform and determine the convergence region for each signal listed below. Does it matter if these signals are defined using the 1-sided or 2-sided definition? Compute it using each definition if it matters. Provide a concise justification if it doesn't matter.

Reuoaded with table provided

complete 4- The z-transform converts the ............ equations to ............ equation. Check if the following statements are True (T) or False (F): 1. The z-transform converts the differential equations to algebraic equation. 2. The digital system can be reconstructed using sampler.