Second order real allpass filter
A digital all-pass filter has an input port leading to an input sum block and a first feed forward path. Within the first feed forward path is a multiplier. The filter also has an output port coupled to an output sum block that receives a signal from the first feed forward path. A first feedback path is also provided from the output port to the input sum block. The first feedback path includes a multiplier therein. Nested within this structure is a first order all-pass filter having a feed forward path including a forward path delay and forward path that is delayed and a feedback path absent a separate delay element and beginning after the forward path delay element.
1. A digital all pass filter of at least the second order, comprising:
a first filter of the first order nested within a second filter of the first order;
the first filter comprising:
a first subtractor having a plus input providing an input to the first filter and a minus input;
a first summer having first and second inputs and output providing an output of the first filter; and
a first multiplier coupled between the output of the first subtractor and the first input of the first summer; and
a feedforward first delay element coupled between the plus input of the first subtractor and the second input of the first summer; and
the second filter comprising:
a second subtractor having a plus input providing an input to the second filter and a minus input;
a second summer having first and second inputs and an output providing an output of the second filter;
a second delay element having an output coupled to the first input of the second summer and an input;
a feedforward second multiplier coupled between the first input of the second subtractor and the second input of the second summer;
a feedback third multiplier between the output of the second summer and the minus input of the second subtractor; and
said first filter being coupled between the output of the second summer and the input of the second delay element; and
a feedback loop between the output of the second delay element and the minus input of the first subtractor.
2. A digital all pass filter as claimed in claim 1 , wherein the first and second filters are nested with a third filter to provide a filter of order greater than 2.