Multiplier-based programmable filters

A filter, comprising:

• pre-scaling circuitry configured to:
• receive a multiplier;
• generate a pre-scaled multiplier based on the multiplier;
• and
• output the multiplier and the pre-scaled multiplier;
• a first multiplier circuit coupled to the pre-scaling circuitry and configured to:
• receive the multiplier, the pre-scaled multiplier, and a first multiplicand;
• calculate a first plurality of intermediate outputs based on the multiplier and the first multiplicand;
• and
• calculate a first carry-sum output based on the first plurality of intermediate outputs, the first carry-sum output comprising a first carry output and a first sum output;
• a first adder coupled to the first multiplier circuit and configured to add the first carry output and the first sum output to form a first partial product;
• a second multiplier circuit coupled to the pre-scaling circuitry and configured to:
• receive the multiplier, the pre-scaled multiplier, and a second multiplicand;
• calculate a second plurality of intermediate outputs based on the multiplier and the second multiplicand;
• and
• calculate a second carry-sum output based on the second plurality of intermediate outputs, the second carry-sum output comprising a second carry output and a second sum output;
• and
• a second adder coupled to the second multiplier circuit and the first adder and configured to add the second carry output, the second sum output, and the first partial product.

A method implemented by a multiplier-based programmable filter, comprising:

• receiving a multiplier;
• generating, by pre-scaling circuitry, at least one pre-scaled multiplier;
• generating, by a first multiplier, a first carry-sum output based at least partially on the multiplier and a first multiplicand;
• adding, by a first adder, a carry output of the first carry-sum output and a sum output of the first carry-sum output to form a first partial product;
• generating, by a second multiplier, a second carry-sum output based at least partially on the multiplier and a second multiplicand;
• adding, by a second adder, a carry output of the second carry-sum output, a sum output of the second carry-sum output, and the first partial product;
• adding one or more compensation values to an output of the second adder to generate a filtered output signal;
• and
• transmitting the filtered output signal by the multiplier-based programmable filter.