During transmission over a communicate channel, bit errors occur independently with probability . If a block of 3 bits are transmitted, the probability of at most one bit error is equal to

Statement 1 is false, since f{h(t)e^3t} corresponds to the value of the Laplace transform of h(t) at s = 3.

If this converges, it implies that s = - 3 is in the ROC.

A casual and stable system must always have its ROC to the right of all its poles. However, s = - 3 is not to the right of the pole at s = - 2.

Statement 2 is false, because it is equivalent to stating that H(0) = 0. This contradicts the fact that H(s) does not have a zero at the origin.

Statement 3 is false. If h(t) is of finite duration, then if its Laplace transform has any points in its ROC, ROC must be the entire s-plane.

However, this is not consistent with H(s) having a pole at s = - 2.

Statement 4 is false. If it were true, then H(s) has a pole at s = - 2, it must also have a pole at s = 2.

This is inconsistent with the fact that all the poles of a causal and stable system must be in the left half of the s-plane.

Distortion less

a = RG and Z₀ = RG ?

.

Since autocorrelation function and power spectral density bears a Fourier transform relation, then since required in frequency domain will five rectangular convolutions in time domain thus it is triangular function.

R₁ ? R₂, Suppose R₁ for x₁(n) be

Then ROC for x₁(n) + x₂(n)

R₁ ? R₂ (R₁ < R₂)

Then ROC for x₁(n) + x₂(n)

R₁ ? R₂(R₁ < R₂)

V_T(new) = V_T(odd) +

= 6.903 x 10^-8

?

?

f_B = - 8.6 x 10¹¹

The threshold voltage is always negative for p-channel and hence implant is of p-type.

Routh array

There is negative number present in first column. Thus network is unstable.

i(f) = 0.5, i(i) = 0.75

i(t) = V_r + (i_i - i_j)e^-1/p = 0.5 - 0.125e^-1000t .

Apply Mesh analysis

Apply KVL to mesh 2

-2 + V_y + 1 = 0

? V_y = 1

Apply KVL to mesh 1

? -8 + V_x + 2 = 0

? V_x = 6 V

Apply KVL to mesh 3

-1 + V_z -2 = 0

? V_z = 3 V.

s = x² - e^x

x(t) = cos t.

Z_s = R_s + (R_B || Br_s)

r_c = 2.475 = 1.258 kV