Methods and systems for spectrum estimation for measure while drilling telemetry in a well system

A method for configuring transmission signals, comprising:

• receiving a signal from a downhole tool in a wellbore, wherein the signal comprises a telemetry portion and a noise portion;
• demodulating the signal to produce a data packet;
• generating a modulated signal using the data packet to produce estimated data symbols;
• estimating a propagation channel of the signal;
• generating the telemetry portion based at least partially on the estimated data symbols and the estimate of the propagation channel;
• subtracting the telemetry portion from the signal;
• estimating, based at least partially on the subtraction, the noise portion of the signal;
• and
• altering a transmission configuration of the downhole tool based at least partially on the noise portion.

A method for configuring transmission signals, comprising:

• receiving a signal from a downhole tool in a wellbore, wherein the signal comprises a telemetry portion and a noise portion;
• generating an analytical telemetry spectrum, wherein the analytical telemetry spectrum represents an ideal spectrum of the telemetry portion;
• generating a spectrum estimate of the telemetry portion based at least partially on the analytical telemetry spectrum;
• subtracting the spectrum estimate of the telemetry portion from a spectrum of the signal;
• estimating, based at least partially on the subtraction, the noise portion of the signal;
• and
• altering a transmission configuration of the downhole tool based at least partially on the noise portion.