For Signal Sequence$\left. s _ { i } = ( 5 , - 2,3 ) \text { and SNR } = 20 \mathrm {~dB} \text {, the noise SD } \sigma _ { N } = \_\_\_\_ x x \right) \text {. }$

Question

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The Answer is

E _ { s } = \sum s _ { i } ^ { 2 } = 38 . S N R _ { d B } = 10 \log _ { 10 } E _ { s } / \sigma _ { N } ^ { 2 } = 20 \rightarrow E _ { s } / \sigma _ { N } ^ { 2 } = 10 ^ { 2 } . \sigma _ { N } ^ { 2 } = 38 / 100 = 0.38 \rightarrow \sigma _ { N } = 0.62

For Signal Sequence $\left. s _ { i } = ( 5 , - 2,3 ) \text { and SNR } = 20 \mathrm {~dB} \text {, the noise SD } \sigma _ { N } = \_\_\_\_ x x \right) \text {. }$

Definitions:

For Signal Sequence si=(5,−2,3) and SNR =20 dB, the noise SD σN=____xx). \left. s _ { i } = ( 5 , - 2,3 ) \text { and SNR } = 20 \mathrm {~dB} \text {, the noise SD } \sigma _ { N } = \_\_\_\_ x x \right) \text {. }si​=(5,−2,3) and SNR =20 dB, the noise SD σN​=____xx).

Definitions:

For Signal Sequence $\left. s _ { i } = ( 5 , - 2,3 ) \text { and SNR } = 20 \mathrm {~dB} \text {, the noise SD } \sigma _ { N } = \_\_\_\_ x x \right) \text {. }$