AVG – Moving average filter

Block SymbolLicensing group: STANDARD

Function Description
The AVG block computes a moving average from the last n samples according to the formula

yk=1n(uk+uk−1+⋯+uk−n+1).<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow> <msub><mrow><mi>y</mi></mrow><mrow><mi>k</mi></mrow></msub> <mo class="MathClass-rel">=</mo> <mfrac><mrow><mn>1</mn></mrow> <mrow><mi>n</mi></mrow></mfrac><mrow><mo class="MathClass-open">(</mo><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>k</mi></mrow></msub> <mo class="MathClass-bin">+</mo> <msub><mrow><mi>u</mi></mrow><mrow><mi>k</mi><mo class="MathClass-bin">−</mo><mn>1</mn></mrow></msub> <mo class="MathClass-bin">+</mo> <mo class="MathClass-rel">⋯</mo> <mo class="MathClass-bin">+</mo> <msub><mrow><mi>u</mi></mrow><mrow><mi>k</mi><mo class="MathClass-bin">−</mo><mi>n</mi><mo class="MathClass-bin">+</mo><mn>1</mn></mrow></msub></mrow><mo class="MathClass-close">)</mo></mrow><mo class="MathClass-punc">.</mo> </mrow></math>

There is a limitation $n < N$ , where $N$ depends on the implementation.

If the last n samples are not yet known, the average is computed from the samples available.

Input

u	Input signal to be filtered	Double (F64)

Output

y	Filtered output signal	Double (F64)

Parameter

n	Number of samples to compute the average from $↓$ 1 $↑$ 10000000 $⊙$ 10	Long (I32)
nmax	Limit for parameter n (used for internal memory allocation) $↓$ 10 $↑$ 10000000 $⊙$ 100	Long (I32)