Question

What is the value of the cross-correction $r_{xh}(\tau)$ between the following two functions at the lag position of $\tau = 3$: $x(t) = 3 \text{ rect}((t-2)/4)$ $h(t) = -5 \text{ rect}((t-1)/2)$ $r_{xh}(3) = ?$ O -45 O -30 O -15 O 0 O 15 O 30 O 45

Name: what is the value of the cross correction rxhtau between the following two functions at the lag position of tau 3 xt 3 text rectt 24 ht 5 text rectt 12 rxh3 o 45 o 30 o 15 o 0 o 15 o 30 o 51394
Uploaded: 2023-02-13T18:01:03-08:00
Duration: 1 min 17 s
Channel: Sri K
Description: what is the value of the cross correction rxhtau between the following two functions at the lag position of tau 3 xt 3 text rectt 24 ht 5 text rectt 12 rxh3 o 45 o 30 o 15 o 0 o 15 o 30 o 51394

          What is the value of the cross-correction $r_{xh}(\tau)$ between the following two functions at the lag position of $\tau = 3$:

$x(t) = 3 \text{ rect}((t-2)/4)$
$h(t) = -5 \text{ rect}((t-1)/2)$
$r_{xh}(3) = ?$

O -45
O -30
O -15
O 0
O 15
O 30
O 45

what is the value of the cross correction rxhtau between the following two functions at the lag position of tau 3 xt 3 text rectt 24 ht 5 text rectt 12 rxh3 o 45 o 30 o 15 o 0 o 15 o 30 o 51394

Added by Joseph S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

02/13/2023

Step 1

So, we need to compute: $$r_{xh}(3) = \int_{-\infty}^{\infty} 3 \text{ rect}((t-2)/4) \cdot (-5) \text{ rect}((t-1-3)/2) dt$$ $$r_{xh}(3) = -15 \int_{-\infty}^{\infty} \text{ rect}((t-2)/4) \text{ rect}((t-4)/2) dt$$ Show more…

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What is the value of the cross-correction $r_{xh}(\tau)$ between the following two functions at the lag position of $\tau = 3$: $x(t) = 3 \text{ rect}((t-2)/4)$ $h(t) = -5 \text{ rect}((t-1)/2)$ $r_{xh}(3) = ?$ O -45 O -30 O -15 O 0 O 15 O 30 O 45