In order to address the information suppression problem of Polar Complex Exponential Transform （PCET）， which is caused by nonuniform zeros distribution in the real part and imaginary part of PCET’s radial function， a generalized PCET with more uniform zeros distribution was proposed. First， PCET was modified， and the exponential part of PCET’s radial function was generalized to a more general constructor. And recently proposed Exponent-Fourier Moment （EFM）， fractional-order polar harmonic transform， generic polar complex exponential transform and the modified generic polar complex exponential transform are all the special cases of the proposed generalized PCET. Second， a constructor was chosen to make the zeros distribution in the real part and imaginary part of radial function of generalized PCET more uniform. And the proof of this property was given. Image reconstruction experiments were conducted on the selected Chinese character image， Coil-20 and COREL databases， and the rotation invariance and anti-noise performance of generalized PCET were tested. When the noise intensity is 0， both the recognition rates of PCET and generalized PCET are 100%， verifying the rotation invariance of PCET and generalized PCET. Compared with PCET， the proposed generalized PCET has lower reconstruction error and higher recognition rate. Theoretical analysis and experimental results show that the proposed generalized PCET with zeros distribution more uniform than PCET also has rotation invariance and orthogonality， and its reconstruction performance and anti-noise performance are better than those of PCET， which solves the information suppression problem of PCET to a certain extent， and is numerically stable at the origin.