Study of phase relationship of Sunspot Numbers with F 10.7 cm Solar Radio-Flux and Coronal Index using Wavelet-Transform technique

In this work advanced wavelet based techniques such as Continuous Wavelet Transform (CWT), Cross Wavelet Transform (XWT) and Cross-Recurrence Plot's (CRP) are used to study the phase relationship between Sunspot numbers, solar radio flux at 10.7cm Coronal index. All the parameters were analyzed for complete solar cycle 23 and ascending phase of solar cycle 24 (time span 1 January 1996-31 December 2013) on the basis of daily and monthly count. We have identified the essential characteristic of solar cycle maxima and found the asynchronous behaviors between the parameter analyzed. Our results are in agreement with the previous findings and suggested that the solar activity maxima occur at least twice during a cycle: first, near the end of the increasing activity phase and then in the early beginning years of the declining phase. It was also found that odd and even numbered solar cycles (i.e. solar cycle 23 and 24) are essentially not in phase and have a phase difference of two months. The Sunspot number shows significant phase relation of 27 days with solar radio-flux and coronal index (CI) corresponding to one solar rotation, during the maximum phase of the cycles. It suggests that the magnetic field system originated in the photosphere in form of active regions and their evaluations are inadequately coupled in the entire solar cycle.