Question

g(0) is defined below, g(t) 3 3 k (1) Write the mathematical expression as a series chose at least the five samples showin (2) Express your answer in a summation format

Answer 1

(1) we can express the signal as the sum of scaled and delayed sum of impulse signal, (t) as shown below.

We can express the signal as the sum of scaled and delayed sum of impulse signal,�delta(t) as shown below. gr(t) = ... + 1/2 * delta(t + 2) + 1/2 * delta(t + 1) + 1/2 * delta(t) + 1/2 * delta(t - 1) + 1/2 * delta(t - 2) + .... ie, g(t) can be represented as the summation g(t) = sigma 1/2 * delta(t - k) Where k varies from -infinity to infinity

gr(t) = ...+ 1/2* $\delta$ (t+2) + 1/2*
We can express the signal as the sum of scaled and delayed sum of impulse signal,�delta(t) as shown below. gr(t) = ... + 1/2 * delta(t + 2) + 1/2 * delta(t + 1) + 1/2 * delta(t) + 1/2 * delta(t - 1) + 1/2 * delta(t - 2) + .... ie, g(t) can be represented as the summation g(t) = sigma 1/2 * delta(t - k) Where k varies from -infinity to infinity
​​​​​​​(t+1) +1/2*
We can express the signal as the sum of scaled and delayed sum of impulse signal,�delta(t) as shown below. gr(t) = ... + 1/2 * delta(t + 2) + 1/2 * delta(t + 1) + 1/2 * delta(t) + 1/2 * delta(t - 1) + 1/2 * delta(t - 2) + .... ie, g(t) can be represented as the summation g(t) = sigma 1/2 * delta(t - k) Where k varies from -infinity to infinity
​​​​​​​(t) + 1/2*
We can express the signal as the sum of scaled and delayed sum of impulse signal,�delta(t) as shown below. gr(t) = ... + 1/2 * delta(t + 2) + 1/2 * delta(t + 1) + 1/2 * delta(t) + 1/2 * delta(t - 1) + 1/2 * delta(t - 2) + .... ie, g(t) can be represented as the summation g(t) = sigma 1/2 * delta(t - k) Where k varies from -infinity to infinity
​​​​​​​(t-1) + 1/2*
We can express the signal as the sum of scaled and delayed sum of impulse signal,�delta(t) as shown below. gr(t) = ... + 1/2 * delta(t + 2) + 1/2 * delta(t + 1) + 1/2 * delta(t) + 1/2 * delta(t - 1) + 1/2 * delta(t - 2) + .... ie, g(t) can be represented as the summation g(t) = sigma 1/2 * delta(t - k) Where k varies from -infinity to infinity
​​​​​​​(t-2) + ...

(2) ie, g(t) can be represented as the summation

g(t) = $\sum$ 1/2* $\delta$ ​​​​​​​(t-k)

Where k varies from - $\infty$ to $\infty$ ​​​​​​​