EE5410 Signal Processing The Running-Average Filter
1. A simple but useful transformation of a discrete-time signal is to compute a moving average or running average of two or more consecutive numbers of the sequence, thereby forming a new sequence of the average values.
2. eg. a 3-point averaging method, EACH value of the output sequence is the SUM of three consecutive input sequence values divided by three.
3. the "support" of such a sequence is the set of values over which the sequence is NON-Zero.
4. difference equation : y[n] = 1/3 * ( x[n] + x[n+1] + x[n+2] ) // noncausal filter
5. A filter that uses only the PRESENT and PAST values of the input is called a causal filter, implying that the cause does not precede the corresponding effect.
6. A filter that uses FUTURE values of the input is called noncausal.
7. a causal running averager or so-called backward average, eg.
y[n] = 1/3 * ( x[n] + x[ n-1 ] + x [ n-2] )
8. the output of the causal filter is simply a SHIFTED version of the output of the noncausal filter.
9. This filter is causal because the output depends on only the present ans two previous ( ie, PAST) values of the input.
10. Therefore, the output does NOT change from zero BEFORE the input change from zero.
2 Kommentare:
1. there remains the interest of Reason which aims directly at the consciousness of the concept of freedom and its development in individuals.
2. freedom whose self-consciousness Reason IS and which springs from the same root as Thought.
1. His consciousness makes to individual comprehend himself as a person, in his uniqueness as a universal in himself, capable of abstraction, of surrendering all particularity,
hence understanding himself as inherently INFINITE.
reason in history , page 86
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