Wireless sensors for detection of an analyte may include a sensor receiving antenna configured to receive interrogation pulses having an interrogation frequency, a DC converter, a relaxation oscillator circuit electrically, and a sensor transmitting antenna. The relaxation oscillator circuit may include a capacitance element that defines a response-pulse frequency of the wireless sensor. The capacitance element may include an interdigitated capacitor coated with a detection layer of a functional material having a dielectric constant that defines the dielectric constant of the interdigitated capacitor. This dielectric constant changes when the functional material is exposed to the analyte, thereby changing the response-pulse frequency of the relaxation oscillator circuit to an analyte-exposure frequency indicative of the exposure of the functional material to the analyte. Wireless systems for detecting an analyte may include a wireless sensor that communicates with an interrogation module.