This note is concerned with the network-based resilient estimation problem. Multiple communication channels are considered to coexist in the networked surroundings, in contrast with the existing studies in which only one channel is used. In addition, it is supposed that the number of channels is not fixed, which consequently causes the communication capability vary among a finite set of modes. The regularity of the variation is considered to be of the modal persistent dwell time (MPDT) property. By constructing a quasi-time-dependent (QTD) Lyapunov function, sufficient conditions on the existence of resilient estimator have been obtained, which have been also shown to be less conservative than the non-QTD approach. An example of suspension system is utilized to demonstrate the effectiveness of the developed techniques.