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.
1. there remains the interest of Reason which aims directly at the consciousness of the concept of freedom and its development in individuals.
AntwortenLöschen2. 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,
AntwortenLöschenhence understanding himself as inherently INFINITE.
reason in history , page 86