The expression for the total power radiated by an electron moving in a helical path was derived from Schwinger's general equation for synchrotron radiation. The equation derived was used to predict the synchrotron radiation from incoming auroral electrons at three different stations, one in the auroral zone and the other two at midlatitudes. The results of the calculations for the station in the auroral zone agree with the data observed by Parthasarathy and Berkey at College, Alaska. The synchrotron radiation from the incoming auroral electrons indeed offers an explanation for the observations of auroral noise observed at College, Alaska.