auth.swift

// MARK: Authorized Property
var audioAuthorized = Variable<Bool>(false)
var videoAuthorized = Variable<Bool>(false)

-----

func bind(){
// どちらも許可されたら通信開始
        Observable
            .combineLatest(audioAuthorized.asObservable(), videoAuthorized.asObservable())
            .subscribe (onNext:{ (audio, video) in
                if audio && video {
                    DispatchQueue.main.asyncAfter(deadline: .now()) {
                        self.requestHogeHoge()
                    }
                }
            }).addDisposableTo(disposeBag)
}

-----

func checkAuthorize(){
    let movieStatus = AVCaptureDevice.authorizationStatus(forMediaType: AVMediaTypeVideo)
    let audioStatus = AVCaptureDevice.authorizationStatus(forMediaType: AVMediaTypeAudio)
    if movieStatus == .authorized && audioStatus == .authorized{
    }else{
        UIAlertController.oneButton("レッスンの準備", message: "マイクとカメラへのアクセスを許可してください", handler: { (alert) in
            AVCaptureDevice.requestAccess(forMediaType: AVMediaTypeAudio) { (granted) in
                self.audioAuthorized.value = granted
            }
            AVCaptureDevice.requestAccess(forMediaType: AVMediaTypeVideo) { (granted) in
                self.videoAuthorized.value = granted
            }
        })
    }
}