Optimized gain filtering technique with noise shaping

A noise shaping and voltage gain filtering third order electrical circuit comprising:

• at least one pair of input resistors;
• a Frequency Dependent Negative Resistance (FDNR) filter positioned in between said at least one pair of input resistors;
• a feedback resistor;
• and
• an amplifier operatively connected to said feedback resistor and said at least one pair of input resistors,
• wherein as an electrical signal is introduced to said electrical circuit, said FDNR filter is adapted to filter signal blockers out of said electrical signal prior to said electrical signal reaching said amplifier for signal amplification,
• wherein said FDNR filter does not contribute noise to a signal-to-noise ratio (SNR) of said electrical signal, and
• wherein a transfer function of said FDNR filter is substantially elliptical in shape.

A method of noise shaping and voltage gain filtering an electrical signal, said method comprising:

• inputting an electrical signal in an electrical circuit;
• passing said electrical signal through a pair of input resistors;
• filtering said electrical signal in a filter positioned in between said pair of input resistors such that said filter creates a short circuit at an out of band region of said electrical signal thereby filtering signal blockers out of said electrical signal, wherein said short circuit causes said filter to refrain from contributing noise to a signal-to-noise ratio (SNR) of said electrical signal;
• and
• amplifying the filtered electrical signal in an amplifier that is operatively connected to a feedback resistor and one of the input resistors.